FWIW, I rinse rice using one of these -- www.amazon.com/Japanese-Fruit-Vegetable-Rice-Wash/dp/B004K6KIPC/ -- which I picked up (at one of our numerous local Asian grocers) for a buck. Note how it drains rice through a screened spout at front of a bowl. You can also use the rice cooker bowl itself; just rinse the rice under the faucet, and tip the cloudy water into the sink while holding the rice back with your hand. (I do this with basmati which tends to jam the screen of the plastic rice washing bowl.)
If you decide to get
this type instead, you might as well use a sieve.
The Asian grocers here in Southern California stock an amazing assortment of domestic and imported rice. Even the warehouse stores, like Costco, offer at least five types: long grain, short grain, basmati,
jasmine, brown, and at least one seasonal special (wild, red, black, etc.). The two biggest Japanese chains here, Marukai and Mitsuwa, and the big Chinese and Korean chains, have huge rice aisles/departments. My wife and I have probably made my way through only a tenth of the offerings...
I have a
recommendation for those looking to "ease into" brown rice: Find yourself a bag of the lightly polished rice called
Gen-Ji-Mai (that is a brand name, actually). Less brown tasting

Also, I'd be remiss not posting these links:
http://www.consumerreports.org/cro/magazine/2012/11/arsenic-in-your-food/index.htm
https://www.google.com/search?q=rice+arsenic
Not
too much to worry about, but do pick wisely.
So we finish the eighteenth and he's gonna stiff me. And I say, "Hey, Lama, hey, how about a little something, you know, for the effort, you know." And he says, "Oh, uh, there won't be any money. But when you die, on your deathbed, you will receive total consciousness."
So I got that goin' for me, which is nice.